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Finding the Fourth Proportional to 258,849.46, 388,451.51 and 90,369.80

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Solution

The fourth proportional to 258,849.46, 388,451.51 and 90,369.80 is: 135,616.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,849.46 : 388,451.51 = 90,369.80 : x
  2. Step 2: Convert to fraction form
    258,849.46/388,451.51 = 90,369.80/x
  3. Step 3: Cross multiply
    258,849.46x = 388,451.51 × 90,369.80
  4. Step 4: Simplify right side
    258,849.46x = 35,104,285,268.40
  5. Step 5: Solve for x
    x = 35,104,285,268.40/258,849.46
  6. Step 6: Final answer
    x = 135,616.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.